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Proposed CP- and Isospin-Violating Interaction and Symmetries of the Three-Triplet Model

Jogesh C. Pati*

  • Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

  • *Supported in part by the National Science Foundation under Grant No. GP8748.

Phys. Rev. D 4, 2143 – Published 1 October, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.2143

Abstract

The proposition made earlier that there exists a basic nonelectromagnetic interaction at the level of electromagnetism, which violates isospin, C, CP, and T invariance "maximally," is reconsidered. It is found that the notion of this new interaction acquires several desirable features in the framework of the three-triplet model. They are: (a) the construction of partially conserved ΔS=ΔQ=0, C-even and C-odd vector currents entering into the interaction; (b) the suppression of CP violation relative to isospin violation due to the new interaction; and (c) the possibility of a large contribution from the new interaction to the ΔI=1 mass differences without an appreciable contribution to the ΔI=2 mass differences. The η3π problem does not seem to have any simple solution in the present model if we insist on a vector form for the new interaction. The possible advantages of a scalar form for the above interaction with respect to the η3π decay and the signs of the ΔI=1 mass differences are noted. Regardless of the vector or scalar form for the interaction, the suppression of CP and T violation in the present model will have the consequences that the asymmetry parameter for the ηπ++π+π0 decay should be of the order of ½% and that the electric dipole moment of the neutron should lie in the region of 1023-1024 e cm, both of which estimates are an order of magnitude lower than the previous ones. It is emphasized that in addition to the above measurements, a search for the vector meson V0 or alternatively the scalar meson S0 (which mediates the new interaction) in the two-pion mass spectra would be most desirable to judge the existence of the new interaction.

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